LKB - Trapped Ions Metrology


Hugo Nogueira (PhD)
Laurent Hilico
Jean-Philippe Karr
Vladimir Korobov (Visitor)

Rovibrational spin-averaged transitions in the hydrogen molecular ions.
Phys. Rev. A 104, 032806 (2021)

Higher-order corrections to spin-spin scalar interactions in HD+ and H2+.
Phys. Rev. A 102, 052827 (2020)

Fundamental Transitions and Ionization Energies of the Hydrogen Molecular Ions with Few ppt Uncertainty.
Phys. Rev. Lett. 118, 233001 (2017)



Since the advent of Quantum Electrodynamics, the theory of hydrogenlike (two-body) atoms has reached a remarkable level of accuracy, which led to use these systems for the determination of fundamental physical constants (Rydberg constant, proton charge radius). Our main aim is to improve the theoretical description of molecular three-body systems such as the H2+ and HD+ ions, through a systematic evaluation of QED corrections. Together with laser spectroscopy experiments being developed in several groups, including ours, this will allow for precise tests of QED and contribute to improving our knowledge of the fundamental constants.
These calculations rely on the resolution of the 3-body Schrödinger equation with very high accuracy by variational methods. QED corrections are then calculated by using the nonrelativistic perturbation theory, within an effective Hamiltonian approach called nonrelativistic QED.
This research program is carried out in collaboration with Vladimir Korobov (Joint Institute for Nuclear Research, Dubna, Russia).